Sonia cut a tree trunk in the shape of a cylinder. The length is 15 feet, and the diameter is 30 inches. Solve for the surface area, using 3.14 for π .(1 point)
Responses
To calculate the surface area of a cylinder, you need to use the formula:
Surface area = 2πr^2 + 2πrh
First, we need to convert the diameter of 30 inches to a radius. The radius is half of the diameter, so the radius is 15 inches (30 inches / 2).
Now we can plug in the values:
Surface area = 2 x 3.14 x (15 inches)^2 + 2 x 3.14 x 15 inches x 15 feet
Surface area = 2 x 3.14 x 225 inches^2 + 2 x 3.14 x 15 inches x 180 inches
Surface area = 3.14 x 450 inches^2 + 3.14 x 2700 inches
Surface area = 1413 inches^2 + 8496 inches
Surface area = 9909 inches^2
Therefore, the surface area of the tree trunk in the shape of a cylinder is 9909 square inches.